Abstract : Miller and Muller (1960) and independently Moon and Moser (1965) determined the maximum number of maximal independent sets in an n-vertex graph. We give a new and simple proof of this result.
David R. Wood. On the number of maximal independent sets in a graph. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2011, Vol. 13 no. 3 (3), pp.17--19. ⟨10.46298/dmtcs.543⟩. ⟨hal-00990494⟩